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Optimal noise reduction in oversampled PR filter banks

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journal contribution
posted on 06.12.2017, 00:00 by Li ChaiLi Chai, J Zhang, C Zhang, E Mosca
This paper studies the optimal noise reduction problem for oversampled filter banks (FBs) with perfect reconstruction (PR) constraint. Both the optimal design and worst case design are considered, where the former caters for the noise with known power spectral density (PSD) and the latter for the noise with unknown PSD. State-space based explicit formulae involving only algebraic Riccati equation and matrix manipulations are provided for the general (IIR or FIR) oversampled PR FBs, and the relations between different cases are analyzed and revealed. Extensive numerical examples are provided to illustrate the proposed design methods and to show their effectiveness

Funding

Category 2 - Other Public Sector Grants Category

History

Volume

57

Issue

10

Start Page

3844

End Page

3857

Number of Pages

14

ISSN

1053-587X

Location

Piscataway, United States

Publisher

Institute of Electrical and Electronics Engineers Inc

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

Monash University; Nanyang Technological University; Not affiliated to a Research Institute; Universityá di Firenze, Italy; Wuhan ke ji da xue;

Era Eligible

Yes

Journal

IEEE transactions on signal processing.